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Finding the Fourth Proportional to 856.13, 1,284.92 and 343.49

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Solution

The fourth proportional to 856.13, 1,284.92 and 343.49 is: 515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,284.92 = 343.49 : x
  2. Step 2: Convert to fraction form
    856.13/1,284.92 = 343.49/x
  3. Step 3: Cross multiply
    856.13x = 1,284.92 × 343.49
  4. Step 4: Simplify right side
    856.13x = 441,357.17
  5. Step 5: Solve for x
    x = 441,357.17/856.13
  6. Step 6: Final answer
    x = 515.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.